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Popular >

simplify 7/(sqrt(8))

Solution

simplify

\frac{7}{8}

Solution

\frac{7}{2 2}

+1

Decimal Notation

2.47487 \dots

Solution steps

\frac{7}{8}

Prime factorization of

8 : 2^{3}

= \frac{7}{2 ^{3}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{3} = 2^{2} \cdot 2

= \frac{7}{2 ^{2} \cdot 2}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 2 = 2^{2} 2

= \frac{7}{2 ^{2} 2}

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= \frac{7}{2 2}

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Frequently Asked Questions (FAQ)

What is 7/(sqrt(8)) ?
The solution to 7/(sqrt(8)) is 7/(2sqrt(2))